Math Geometry Problems, Online Education

Geometry Problem 176: Crack the Code of Quadrilaterals: Discovering Midpoints, Triangles, and Areas for High School and College Math Education

Consider the quadrilateral ABCD shown in the figure below, with E, F, G, and H as the midpoints of sides AB, BC, CD, and AD respectively. The intersection points of the lines AF, BG, CH, and DE define shaded regions with areas S, S1, S2, S3, and S4 respectively. Prove that S = S1 + S2 + S3 + S4.
 

Geometry problem 176, Quadrilateral with midpoints

  

Problem 176
Quadrilateral maze,
Midpoints and intersecting,
Proof awaits within.
 

Sketch and Design Typography for Problem 176 with iPad Apps!

Sketch and Typography of problem 176 using iPad Apps, Triangle Area: Quadrilateral, Area, Midpoints

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